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Finding the Third Proportional to 3,069 and 6,671.25

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Solution

The third proportional to 3,069 and 6,671.25 is: 14,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069 : 6,671.25 = 6,671.25 : x
  2. Step 2: Convert to fraction form
    3,069/6,671.25 = 6,671.25/x
  3. Step 3: Cross multiply
    3,069x = 6,671.25 × 6,671.25
  4. Step 4: Simplify right side
    3,069x = 44,505,576.56
  5. Step 5: Solve for x
    x = 44,505,576.56/3,069
  6. Step 6: Final answer
    x = 14,501.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.